Atkin-Lehner |
2- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162t |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-137304768512 = -1 · 215 · 232 · 892 |
Discriminant |
Eigenvalues |
2- -1 2 2 4 2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12822,-564461] |
[a1,a2,a3,a4,a6] |
j |
-440694341960017/259555328 |
j-invariant |
L |
6.7295550013928 |
L(r)(E,1)/r! |
Ω |
0.2243185030062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94162p1 |
Quadratic twists by: -23 |